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tatuchka [14]
3 years ago
14

78 is what percent of 110

Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer: 70.909090909091%

Step-by-step explanation: Reading through the problem we have <em>78 is</em>, that's 78 equals, <em>what percent</em>, x/100, <em>of 110</em>, times 110.

It's important to understand that <em>percent</em> means over 100 so what percent would simply mean <em>x/100</em> or any variable but I will be using x.

So we have the equation 78 = \frac{x}{100} *110

So cross canceling the 110 and 100 to 11 and 10, we have 78 = \frac{11x}{10}

Multiply both sides by 10 to get rid

of the fraction and we have 780 = 11x.

Now divide both sides by 11 and 70.909090909091 = x.

So, 78 is 70.909090909091% of 110.

Work is attached in the image provided.

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Brilliant_brown [7]

Answer:

\huge\boxed{IJ \approx 2.01}

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: \text{sin(42)} = \frac{x}{3}

Let's now solve for x.

  • \text{sin(42)} = \frac{x}{3}
  • 3 \cdot \text{sin(42)} = x
  • \text{sin(42)} \approx 0.67
  • 3 \cdot 0.67 \approx 2.01

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0
2 years ago
What is the approximate perimeter of a rhombus with the diagonals that measure 12 feet and 18 feet
Fynjy0 [20]

Answer:

The perimeter of a rhombus with diagonals of 12 feet and 18 feet would be 60 feet.

Step-by-step explanation:

Perimeter of a rhombus: S1 + S2 + S3 + S4 = answer. (S stands for side.)

12 ft. + 18 ft. + 12 ft. + 18 ft. = 60 ft.

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3 years ago
A financial company advertises on television that they will pay you $55,000 now in exchange for annual payments of $8,500 that y
Lena [83]

dunno sorry

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If an average walk to the gas station is 15 minutes. why has my dad been gone for 11 years?
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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In a rectangle ABCD if AB=4x and DC=7x-9,find the length of AB.(Lengths are in cm).
myrzilka [38]

Answer:

12 cm

Step-by-step explanation:

AB and DC are parallel to each other, so they are the same length. Set their lengths equal to each other and solve for x

4x = 7x - 9

4x - 7x = 7x - 7x -9

-3x = -9

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Now solve for AB.

AB = 4x

AB = 4(3)

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8 0
2 years ago
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